Benvenuti nell'Anagrafe della Ricerca d'Ateneo
La valutazione delle attività di ricerca che si svolgono nelle università ha assunto un'importanza rilevante sia per l'intero sistema universitario sia all'interno di ogni singolo ateneo. Roma Tre si è quindi dotata di idonei strumenti informativi in grado di supportare al meglio le azioni di monitoraggio e di valutazione delle attività di ricerca svolte nei propri dipartimentied ha realizzato una Anagrafe della Ricerca di Ateneo.
EnglishWe construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrodinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Backlund transformations for some particular cases of the discrete Krichever-Novikov equation found by Yamilov (YdKN equation). This enables us to construct new generalized symmetries for the ABS equations. The same can be said about the generalizations of the ABS equations introduced by Tongas, Tsoubelis and Xenitidis. All of them generate Backlund transformations for the YdKN equation. The higher order generalized symmetries we construct in the present paper confirm their integrability.
Levi D, Petrera M, Scimiterna C, & Yamilov R (2008). On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 4.
| Titolo: | On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations |
| Autori: | |
| Data di pubblicazione: | 2008 |
| Rivista: | |
| Citazione: | Levi D, Petrera M, Scimiterna C, & Yamilov R (2008). On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 4. |
| Abstract: | We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schrodinger spectral problem associated with Volterra-type equations. We show that the ABS equations correspond to Backlund transformations for some particular cases of the discrete Krichever-Novikov equation found by Yamilov (YdKN equation). This enables us to construct new generalized symmetries for the ABS equations. The same can be said about the generalizations of the ABS equations introduced by Tongas, Tsoubelis and Xenitidis. All of them generate Backlund transformations for the YdKN equation. The higher order generalized symmetries we construct in the present paper confirm their integrability. |
| Handle: | http://hdl.handle.net/11590/136941 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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